X ~ N(50, 12). Suppose that you form random samples of 25 from this distribution. Let  X  be the random variable of averages. Let ΣX be the random variable of sums. 1 Give the distribution of  X.  (Enter an exact number as an integer, fraction, or decimal.) 2sketch the graph, shade the region, label and scale the horizontal axis for  X,  and find the probability. (Round your answer to four decimal places.) P(X < 50) =  3Find the 40th percentile. (Round your answer to two decimal places.)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.